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Finding the Fourth Proportional to 2,024.94, 3,035.88 and 1,050.42

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Solution

The fourth proportional to 2,024.94, 3,035.88 and 1,050.42 is: 1,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.94 : 3,035.88 = 1,050.42 : x
  2. Step 2: Convert to fraction form
    2,024.94/3,035.88 = 1,050.42/x
  3. Step 3: Cross multiply
    2,024.94x = 3,035.88 × 1,050.42
  4. Step 4: Simplify right side
    2,024.94x = 3,188,949.07
  5. Step 5: Solve for x
    x = 3,188,949.07/2,024.94
  6. Step 6: Final answer
    x = 1,574.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.